Optical image capturing system

ABSTRACT

An optical image capturing system includes, along the optical axis in order from an object side to an image side, a first lens, a second lens, a third lens, a fourth lens, and a fifth lens. At least one lens among the first to the fifth lenses has positive refractive force. The fifth lens can have negative refractive force, wherein both surfaces thereof are aspheric, and at least one surface thereof has an inflection point. The lenses in the optical image capturing system which have refractive power include the first to the fifth lenses. The optical image capturing system can increase aperture value and improve the imaging quality for use in compact cameras.

BACKGROUND OF THE INVENTION

1. Technical Field

The present invention relates generally to an optical system, and more particularly to a compact optical image capturing system for an electronic device.

2. Description of Related Art

In recent years, with the rise of portable electronic devices having camera functionalities, the demand for an optical image capturing system is raised gradually. The image sensing device of the ordinary photographing camera is commonly selected from charge coupled device (CCD) or complementary metal-oxide semiconductor sensor (CMOS Sensor). In addition, as advanced semiconductor manufacturing technology enables the minimization of the pixel size of the image sensing device, the development of the optical image capturing system towards the field of high pixels. Therefore, the requirement for high imaging quality is rapidly raised.

The conventional optical system of the portable electronic device usually has three or four lenses. However, the optical system is asked to take pictures in a dark environment, in other words, the optical system is asked to have a large aperture. The conventional optical system could not provide a high optical performance as required.

It is an important issue to increase the amount of light entering the lens. In addition, the modern lens is also asked to have several characters, including high image quality.

BRIEF SUMMARY OF THE INVENTION

The aspect of embodiment of the present disclosure directs to an optical image capturing system and an optical image capturing lens which use combination of refractive powers, convex and concave surfaces of five-piece optical lenses (the convex or concave surface in the disclosure denotes the geometrical shape of an image-side surface or an object-side surface of each lens on an optical axis) to increase the amount of incoming light of the optical image capturing system, and to improve imaging quality for image formation, so as to be applied to minimized electronic products.

The terms and definitions thereof related to the lens parameters in the embodiments of the present invention are shown as below for further reference.

The lens parameter related to a length or a height in the lens:

A height for image formation of the optical image capturing system is denoted by HOI. A height of the optical image capturing system is denoted by HOS. A distance from the object-side surface of the first lens to the image-side surface of the fifth lens is denoted by InTL. A distance from the first lens to the second lens is denoted by IN12 (instance). A central thickness of the first lens of the optical image capturing system on the optical axis is denoted by TP1 (instance).

The lens parameter related to a material in the lens:

An Abbe number of the first lens in the optical image capturing system is denoted by NA1 (instance). A refractive index of the first lens is denoted by Nd1 (instance).

The lens parameter related to a view angle in the lens:

A view angle is denoted by AF. Half of the view angle is denoted by HAF. A major light angle is denoted by MRA.

The lens parameter related to exit/entrance pupil in the lens:

An entrance pupil diameter of the optical image capturing system is denoted by HEP. For any surface of any lens, a maximum effective half diameter (EHD) is a perpendicular distance between an optical axis and a crossing point on the surface where the incident light with a maximum viewing angle of the system passing the very edge of the entrance pupil. For example, the maximum effective half diameter of the object-side surface of the first lens is denoted by EHD11, the maximum effective half diameter of the image-side surface of the first lens is denoted by EHD12, the maximum effective half diameter of the object-side surface of the second lens is denoted by EHD21, the maximum effective half diameter of the image-side surface of the second lens is denoted by EHD22, and so on.

The lens parameter related to an arc length of the shape of a surface and a surface profile:

For any surface of any lens, a profile curve length of the maximum effective half diameter is, by definition, measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to an end point of the maximum effective half diameter thereof. In other words, the curve length between the aforementioned start and end points is the profile curve length of the maximum effective half diameter, which is denoted by ARS. For example, the profile curve length of the maximum effective half diameter of the object-side surface of the first lens is denoted by ARS11, the profile curve length of the maximum effective half diameter of the image-side surface of the first lens is denoted by ARS12, the profile curve length of the maximum effective half diameter of the object-side surface of the second lens is denoted by ARS21, the profile curve length of the maximum effective half diameter of the image-side surface of the second lens is denoted by ARS22, and so on.

For any surface of any lens, a profile curve length of a half of the entrance pupil diameter (HEP) is, by definition, measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis. In other words, the curve length between the aforementioned stat point and the coordinate point is the profile curve length of a half of the entrance pupil diameter (HEP), and is denoted by ARE. For example, the profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the first lens is denoted by ARE11, the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the first lens is denoted by ARE12, the profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the second lens is denoted by ARE21, the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the second lens is denoted by ARE22, and so on.

The lens parameter related to a depth of the lens shape:

A displacement from a point on the object-side surface of the fifth lens, which is passed through by the optical axis, to a point on the optical axis, where a projection of the maximum effective semi diameter of the object-side surface of the fifth lens ends, is denoted by InRS51 (the depth of the maximum effective semi diameter). A displacement from a point on the image-side surface of the fifth lens, which is passed through by the optical axis, to a point on the optical axis, where a projection of the maximum effective semi diameter of the image-side surface of the fifth lens ends, is denoted by InRS52 (the depth of the maximum effective semi diameter). The depth of the maximum effective semi diameter (sinkage) on the object-side surface or the image-side surface of any other lens is denoted in the same manner.

The lens parameter related to the lens shape:

A critical point C is a tangent point on a surface of a specific lens, and the tangent point is tangent to a plane perpendicular to the optical axis and the tangent point cannot be a crossover point on the optical axis. By the definition, a distance perpendicular to the optical axis between a critical point C41 on the object-side surface of the fourth lens and the optical axis is HVT41 (instance), and a distance perpendicular to the optical axis between a critical point C42 on the image-side surface of the fourth lens and the optical axis is HVT42 (instance). A distance perpendicular to the optical axis between a critical point C51 on the object-side surface of the fifth lens and the optical axis is HVT51 (instance), and a distance perpendicular to the optical axis between a critical point C52 on the image-side surface of the fifth lens and the optical axis is HVT52 (instance). A distance perpendicular to the optical axis between a critical point on the object-side or image-side surface of other lenses the optical axis is denoted in the same manner.

The object-side surface of the fifth lens has one inflection point IF511 which is nearest to the optical axis, and the sinkage value of the inflection point IF511 is denoted by SGI511 (instance). A distance perpendicular to the optical axis between the inflection point IF511 and the optical axis is HIF511 (instance). The image-side surface of the fifth lens has one inflection point IF521 which is nearest to the optical axis, and the sinkage value of the inflection point IF521 is denoted by SGI521 (instance). A distance perpendicular to the optical axis between the inflection point IF521 and the optical axis is HIF521 (instance).

The object-side surface of the fifth lens has one inflection point IF512 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF512 is denoted by SGI512 (instance). A distance perpendicular to the optical axis between the inflection point IF512 and the optical axis is HIF512 (instance). The image-side surface of the fifth lens has one inflection point IF522 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF522 is denoted by SGI522 (instance). A distance perpendicular to the optical axis between the inflection point IF522 and the optical axis is HIF522 (instance).

The object-side surface of the fifth lens has one inflection point IF513 which is the third nearest to the optical axis, and the sinkage value of the inflection point IF513 is denoted by SGI513 (instance). A distance perpendicular to the optical axis between the inflection point IF513 and the optical axis is HIF513 (instance). The image-side surface of the fifth lens has one inflection point IF523 which is the third nearest to the optical axis, and the sinkage value of the inflection point IF523 is denoted by SGI523 (instance). A distance perpendicular to the optical axis between the inflection point IF523 and the optical axis is HIF523 (instance).

The object-side surface of the fifth lens has one inflection point IF514 which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF514 is denoted by SGI514 (instance). A distance perpendicular to the optical axis between the inflection point IF514 and the optical axis is HIF514 (instance). The image-side surface of the fifth lens has one inflection point IF524 which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF524 is denoted by SGI524 (instance). A distance perpendicular to the optical axis between the inflection point IF524 and the optical axis is HIF524 (instance).

An inflection point, a distance perpendicular to the optical axis between the inflection point and the optical axis, and a sinkage value thereof on the object-side surface or image-side surface of other lenses is denoted in the same manner.

The lens parameter related to an aberration:

Optical distortion for image formation in the optical image capturing system is denoted by ODT. TV distortion for image formation in the optical image capturing system is denoted by TDT. Further, the range of the aberration offset for the view of image formation may be limited to 50%-100% field. An offset of the spherical aberration is denoted by DFS. An offset of the coma aberration is denoted by DFC.

Transverse aberration on an edge of an aperture is denoted by STA, which stands for STOP transverse aberration, and is used to evaluate the performance of one specific optical image capturing system. The transverse aberration of light in any field of view can be calculated with a tangential fan or a sagittal fan. More specifically, the transverse aberration caused when the longest operation wavelength (e.g., 650 nm or 656 nm) and the shortest operation wavelength (e.g., 470 nm or 486 nm) pass through the edge of the aperture can be used as the reference for evaluating performance. The coordinate directions of the aforementioned tangential fan can be further divided into a positive direction (upper light) and a negative direction (lower light). The longest operation wavelength which passes through the edge of the aperture has an imaging position on the image plane in a particular field of view, and the reference wavelength of the mail light (e.g., 555 nm or 587.5 nm) has another imaging position on the image plane in the same field of view. The transverse aberration caused when the longest operation wavelength passes through the edge of the aperture is defined as a distance between these two imaging positions. Similarly, the shortest operation wavelength which passes through the edge of the aperture has an imaging position on the image plane in a particular field of view, and the transverse aberration caused when the shortest operation wavelength passes through the edge of the aperture is defined as a distance between the imaging position of the shortest operation wavelength and the imaging position of the reference wavelength. The performance of the optical image capturing system can be considered excellent if the transverse aberrations of the shortest and the longest operation wavelength which pass through the edge of the aperture and image on the image plane in 0.7 field of view (i.e., 0.7 times the height for image formation HOI) are both less than 20 μm or 20 pixels. Furthermore, for a stricter evaluation, the performance cannot be considered excellent unless the transverse aberrations of the shortest and the longest operation wavelength which pass through the edge of the aperture and image on the image plane in 0.7 field of view are both less than 10 μm or 10 pixels.

The optical image capturing system has a maximum image height HOI on the image plane vertical to the optical axis. A transverse aberration at 0.7 HOI in the positive direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture is denoted by PLTA; a transverse aberration at 0.7 HOI in the positive direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture is denoted by PSTA; a transverse aberration at 0.7 HOI in the negative direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture is denoted by NLTA; a transverse aberration at 0.7 HOI in the negative direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture is denoted by NSTA; a transverse aberration at 0.7 HOI of the sagittal fan after the longest operation wavelength passing through the edge of the aperture is denoted by SLTA; a transverse aberration at 0.7 HOI of the sagittal fan after the shortest operation wavelength passing through the edge of the aperture is denoted by SSTA.

The present invention provides an optical image capturing system, in which the fifth lens is provided with an inflection point at the object-side surface or at the image-side surface to adjust the incident angle of each view field and modify the ODT and the TDT. In addition, the surfaces of the fifth lens are capable of modifying the optical path to improve the imagining quality.

The optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane in order along an optical axis from an object side to an image side. At least one lens among the first lens to the fifth lens has positive refractive power. Both the object-side surface and the image-side surface of the fifth lens are aspheric surfaces. The optical image capturing system satisfies: 1≤f/HEP≤10; 0 deg<HAF≤50 deg; and 0.9≤2(ARE/HEP)≤2.0;

where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance between the object-side surface of the first lens and the image plane on the optical axis; InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens on the optical axis; HAF is a half of a maximum view angle of the optical image capturing system; ARE is a profile curve length measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.

The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane in order along an optical axis from an object side to an image side. At least one lens among the first lens to the fifth lens have at least an inflection point on at least a surface thereof. The optical image capturing system satisfies: 1≤f/HEP≤10; 0 deg<HAF≤50 deg; and 0.9≤2(ARE/HEP)≤2.0;

where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance between the object-side surface of the first lens and the image plane on the optical axis; InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens on the optical axis; HAF is a half of a maximum view angle of the optical image capturing system; ARE is a profile curve length measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.

The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane, in order along an optical axis from an object side to an image side. The number of the lenses having refractive power in the optical image capturing system is five. At least two lenses among the first to the fifth lenses has at least an inflection point on at least one surface thereof. The optical image capturing system satisfies: 1≤f/HEP≤10; 10 deg≤HAF≤50 deg; 0.9≤2(ARE/HEP)≤2.0 and 1≤HOS/HOI≤5;

where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance between the object-side surface of the first lens and the image plane on the optical axis; InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens on the optical axis; HAF is a half of a maximum view angle of the optical image capturing system; HOI is a maximum height for image formation perpendicular to the optical axis on the image plane; ARE is a profile curve length measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.

For any surface of any lens, the profile curve length within the effective half diameter affects the ability of the surface to correct aberration and differences between optical paths of light in different fields of view. With longer profile curve length, the ability to correct aberration is better. However, the difficulty of manufacturing increases as well. Therefore, the profile curve length within the effective half diameter of any surface of any lens has to be controlled. The ratio between the profile curve length (ARS) within the effective half diameter of one surface and the thickness (TP) of the lens, which the surface belonged to, on the optical axis (i.e., ARS/TP) has to be particularly controlled. For example, the profile curve length of the maximum effective half diameter of the object-side surface of the first lens is denoted by ARS11, the thickness of the first lens on the optical axis is TP1, and the ratio between these two parameters is ARS11/TP1; the profile curve length of the maximum effective half diameter of the image-side surface of the first lens is denoted by ARS12, and the ratio between ARS12 and TP1 is ARS12/TP1. The profile curve length of the maximum effective half diameter of the object-side surface of the second lens is denoted by ARS21, the thickness of the second lens on the optical axis is TP2, and the ratio between these two parameters is ARS21/TP2; the profile curve length of the maximum effective half diameter of the image-side surface of the second lens is denoted by ARS22, and the ratio between ARS22 and TP2 is ARS22/TP2. For any surface of other lenses in the optical image capturing system, the ratio between the profile curve length of the maximum effective half diameter thereof and the thickness of the lens which the surface belonged to is denoted in the same manner.

For any surface of any lens, the profile curve length within a half of the entrance pupil diameter (HEP) affects the ability of the surface to correct aberration and differences between optical paths of light in different fields of view. With longer profile curve length, the ability to correct aberration is better. However, the difficulty of manufacturing increases as well. Therefore, the profile curve length within a half of the entrance pupil diameter (HEP) of any surface of any lens has to be controlled. The ratio between the profile curve length (ARE) within a half of the entrance pupil diameter (HEP) of one surface and the thickness (TP) of the lens, which the surface belonged to, on the optical axis (i.e., ARE/TP) has to be particularly controlled. For example, the profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the first lens is denoted by ARE11, the thickness of the first lens on the optical axis is TP1, and the ratio between these two parameters is ARE11/TP1; the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the first lens is denoted by ARE12, and the ratio between ARE12 and TP1 is ARE12/TP1. The profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the second lens is denoted by ARE21, the thickness of the second lens on the optical axis is TP2, and the ratio between these two parameters is ARE21/TP2; the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the second lens is denoted by ARE22, and the ratio between ARE22 and TP2 is ARE22/TP2. For any surface of other lenses in the optical image capturing system, the ratio between the profile curve length of a half of the entrance pupil diameter (HEP) thereof and the thickness of the lens which the surface belonged to is denoted in the same manner.

In an embodiment, a height of the optical image capturing system (HOS) can be reduced while |f1|>f5.

In an embodiment, when |f2|+|f3|+|f4| and |f1|+|f5| of the lenses satisfy the aforementioned conditions, at least one lens among the second to the fourth lenses could have weak positive refractive power or weak negative refractive power. Herein the weak refractive power means the absolute value of the focal length of one specific lens is greater than 10. When at least one lens among the second to the fourth lenses has weak positive refractive power, it may share the positive refractive power of the first lens, and on the contrary, when at least one lens among the second to the fourth lenses has weak negative refractive power, it may fine turn and correct the aberration of the system.

In an embodiment, the fifth lens could have negative refractive power, and an image-side surface thereof is concave, it may reduce back focal length and size. Besides, the fifth lens can have at least an inflection point on at least a surface thereof, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view.

BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS

The present invention will be best understood by referring to the following detailed description of some illustrative embodiments in conjunction with the accompanying drawings, in which

FIG. 1A is a schematic diagram of a first embodiment of the present invention;

FIG. 1B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the first embodiment of the present application;

FIG. 1C shows a tangential fan and a sagittal fan of the optical image capturing system of the first embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture;

FIG. 2A is a schematic diagram of a second embodiment of the present invention;

FIG. 2B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the second embodiment of the present application;

FIG. 2C shows a tangential fan and a sagittal fan of the optical image capturing system of the second embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture;

FIG. 3A is a schematic diagram of a third embodiment of the present invention;

FIG. 3B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the third embodiment of the present application;

FIG. 3C shows a tangential fan and a sagittal fan of the optical image capturing system of the third embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture;

FIG. 4A is a schematic diagram of a fourth embodiment of the present invention;

FIG. 4B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fourth embodiment of the present application;

FIG. 4C shows a tangential fan and a sagittal fan of the optical image capturing system of the fourth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture;

FIG. 5A is a schematic diagram of a fifth embodiment of the present invention;

FIG. 5B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fifth embodiment of the present application;

FIG. 5C shows a tangential fan and a sagittal fan of the optical image capturing system of the fifth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture;

FIG. 6A is a schematic diagram of a sixth embodiment of the present invention;

FIG. 6B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the sixth embodiment of the present application; and

FIG. 6C shows a tangential fan and a sagittal fan of the optical image capturing system of the sixth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture.

DETAILED DESCRIPTION OF THE INVENTION

An optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane from an object side to an image side. The optical image capturing system further is provided with an image sensor at an image plane.

The optical image capturing system can work in three wavelengths, including 486.1 nm, 587.5 nm, and 656.2 nm, wherein 587.5 nm is the main reference wavelength and is the reference wavelength for obtaining the technical characters. The optical image capturing system can also work in five wavelengths, including 470 nm, 510 nm, 555 nm, 610 nm, and 650 nm wherein 555 nm is the main reference wavelength, and is the reference wavelength for obtaining the technical characters.

The optical image capturing system of the present invention satisfies 0.5≤ΣPPR/|ΣNPR|≤3.0, and a preferable range is 1≤ΣPPR/|ΣNPR|≤2.5, where PPR is a ratio of the focal length fp of the optical image capturing system to a focal length fp of each of lenses with positive refractive power; NPR is a ratio of the focal length fn of the optical image capturing system to a focal length fn of each of lenses with negative refractive power, ΣPPR is a sum of the PPRs of each positive lens; and ΣNPR is a sum of the NPRs of each negative lens. It is helpful for control of an entire refractive power and an entire length of the optical image capturing system.

The image sensor is provided on the image plane. The optical image capturing system of the present invention satisfies HOS/HOI≤25 and 0.5≤HOS/f≤25, and a preferable range is 1≤HOS/HOI≤20 and 1≤HOS/f≤20, where HOI is a half of a diagonal of an effective sensing area of the image sensor, i.e., the maximum image height, and HOS is a height of the optical image capturing system, i.e. a distance on the optical axis between the object-side surface of the first lens and the image plane. It is helpful for reduction of the size of the system for used in compact cameras.

The optical image capturing system of the present invention further is provided with an aperture to increase image quality.

In the optical image capturing system of the present invention, the aperture could be a front aperture or a middle aperture, wherein the front aperture is provided between the object and the first lens, and the middle is provided between the first lens and the image plane. The front aperture provides a long distance between an exit pupil of the system and the image plane, which allows more elements to be installed. The middle could enlarge a view angle of view of the system and increase the efficiency of the image sensor. The optical image capturing system satisfies 0.2≤InS/HOS≤1.1, where InS is a distance between the aperture and the image plane. It is helpful for size reduction and wide angle.

The optical image capturing system of the present invention satisfies 0.1≤ΣTP/InTL≤0.9, where InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens, and ΣTP is a sum of central thicknesses of the lenses on the optical axis. It is helpful for the contrast of image and yield rate of manufacture and provides a suitable back focal length for installation of other elements.

The optical image capturing system of the present invention satisfies 0.01<|R1/R2|<100, and a preferable range is 0.05<|R1/R2|<80, where R1 is a radius of curvature of the object-side surface of the first lens, and R2 is a radius of curvature of the image-side surface of the first lens. It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration.

The optical image capturing system of the present invention satisfies −50<(R9−R10)/(R9+R10)<50, where R9 is a radius of curvature of the object-side surface of the fifth lens, and R10 is a radius of curvature of the image-side surface of the fifth lens. It may modify the astigmatic field curvature.

The optical image capturing system of the present invention satisfies IN12/f≤5.0, where IN12 is a distance on the optical axis between the first lens and the second lens. It may correct chromatic aberration and improve the performance.

The optical image capturing system of the present invention satisfies IN45/f≤5.0, where IN45 is a distance on the optical axis between the fourth lens and the fifth lens. It may correct chromatic aberration and improve the performance.

The optical image capturing system of the present invention satisfies 0.1≤(TP1+IN12)/TP2≤50.0, where TP1 is a central thickness of the first lens on the optical axis, and TP2 is a central thickness of the second lens on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance.

The optical image capturing system of the present invention satisfies 0.1≤(TP5+IN45)/TP4≤50.0, where TP4 is a central thickness of the fourth lens on the optical axis, TP5 is a central thickness of the fifth lens on the optical axis, and IN45 is a distance between the fourth lens and the fifth lens. It may control the sensitivity of manufacture of the system and improve the performance.

The optical image capturing system of the present invention satisfies 0.1≤TP3/(IN23+TP3+IN34)<1, where TP2 is a central thickness of the second lens on the optical axis, TP3 is a central thickness of the third lens on the optical axis, TP4 is a central thickness of the fourth lens on the optical axis, IN23 is a distance on the optical axis between the second lens and the third lens, IN34 is a distance on the optical axis between the third lens and the fourth lens, and InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens. It may fine tune and correct the aberration of the incident rays layer by layer, and reduce the height of the system.

The optical image capturing system satisfies 0 mm≤HVT51≤3 mm; 0 mm<HVT52≤6 mm; 0≤HVT51/HVT52; 0 mm≤|SGC51|≤0.5 mm; 0 mm≤|SGC52|≤2 mm; and 0<|SGC52|/(|SGC52|+TP5)≤0.9, where HVT51 a distance perpendicular to the optical axis between the critical point C51 on the object-side surface of the fifth lens and the optical axis; HVT52 a distance perpendicular to the optical axis between the critical point C52 on the image-side surface of the fifth lens and the optical axis; SGC51 is a distance on the optical axis between a point on the object-side surface of the fifth lens where the optical axis passes through and a point where the critical point C51 projects on the optical axis; SGC52 is a distance on the optical axis between a point on the image-side surface of the fifth lens where the optical axis passes through and a point where the critical point C52 projects on the optical axis. It is helpful to correct the off-axis view field aberration.

The optical image capturing system satisfies 0.2≤HVT52/HOI≤0.9, and preferably satisfies 0.3≤HVT52/HOI≤0.8. It may help to correct the peripheral aberration.

The optical image capturing system satisfies 0≤HVT52/HOS≤0.5, and preferably satisfies 0.2≤HVT52/HOS≤0.45. It may help to correct the peripheral aberration.

The optical image capturing system of the present invention satisfies 0<SGI511/(SGI511+TP5)≤0.9; 0<SGI521/(SGI521+TP5)≤0.9, and it is preferable to satisfy 0.1≤SGI511/(SGI511+TP5)≤0.6; 0.1≤SGI521/(SGI521+TP5)≤0.6, where SGI511 is a displacement on the optical axis from a point on the object-side surface of the fifth lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the closest to the optical axis, projects on the optical axis, and SGI521 is a displacement on the optical axis from a point on the image-side surface of the fifth lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the closest to the optical axis, projects on the optical axis.

The optical image capturing system of the present invention satisfies 0<SGI512/(SGI512+TP5)≤0.9; 0<SGI522/(SGI522+TP5)≤0.9, and it is preferable to satisfy 0.1≤SGI512/(SGI512+TP5)≤0.6; 0.1≤SGI522/(SGI522+TP5)≤0.6, where SGI512 is a displacement on the optical axis from a point on the object-side surface of the fifth lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the second closest to the optical axis, projects on the optical axis, and SGI522 is a displacement on the optical axis from a point on the image-side surface of the fifth lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the second closest to the optical axis, projects on the optical axis.

The optical image capturing system of the present invention satisfies 0.001 mm≤|HIF511|≤5 mm; 0.001 mm≤|HIF521|≤5 mm, and it is preferable to satisfy 0.1 mm≤|HIF511|≤3.5 mm; 1.5 mm≤|HIF521|≤3.5 mm, where HIF511 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis; HIF521 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis.

The optical image capturing system of the present invention satisfies 0.001 mm≤|HIF512|≤5 mm; 0.001 mm≤|HIF522|≤5 mm, and it is preferable to satisfy 0.1 mm≤|HIF522|≤3.5 mm; 0.1 mm≤|HIF512|≤3.5 mm, where HIF512 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis; HIF522 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis.

The optical image capturing system of the present invention satisfies 0.001 mm≤|HIF513|≤5 mm; 0.001 mm≤|HIF523|≤5 mm, and it is preferable to satisfy 0.1 mm≤|HIF523|≤3.5 mm; 0.1 mm≤|HIF513|≤3.5 mm, where HIF513 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the third closest to the optical axis, and the optical axis; HIF523 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the third closest to the optical axis, and the optical axis.

The optical image capturing system of the present invention satisfies 0.001 mm≤|HIF514|≤5 mm; 0.001 mm≤|HIF524|≤5 mm, and it is preferable to satisfy 0.1 mm≤|HIF524|≤3.5 mm; 0.1 mm≤|HIF514|≤3.5 mm, where HIF514 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the fourth closest to the optical axis, and the optical axis; HIF524 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the fourth closest to the optical axis, and the optical axis.

In an embodiment, the lenses of high Abbe number and the lenses of low Abbe number are arranged in an interlaced arrangement that could be helpful for correction of aberration of the system.

An equation of aspheric surface is z=ch ²/[1+[1(k+1)c ² h ²]^(0.5) ]+A4h ⁴ +A6h ⁶ +A8h ⁸ +A10h ¹⁰ +A12h ¹² +A14h ¹⁴ +A16h ¹⁶ +A18h ¹⁸ +A20h ²⁰+  (1)

where z is a depression of the aspheric surface; k is conic constant; c is reciprocal of the radius of curvature; and A4, A6, A8, A10, A12, A14, A16, A18, and A20 are high-order aspheric coefficients.

In the optical image capturing system, the lenses could be made of plastic or glass. The plastic lenses may reduce the weight and lower the cost of the system, and the glass lenses may control the thermal effect and enlarge the space for arrangement of the refractive power of the system. In addition, the opposite surfaces (object-side surface and image-side surface) of the first to the fifth lenses could be aspheric that can obtain more control parameters to reduce aberration. The number of aspheric glass lenses could be less than the conventional spherical glass lenses, which is helpful for reduction of the height of the system.

When the lens has a convex surface, which means that the surface is convex around a position, through which the optical axis passes, and when the lens has a concave surface, which means that the surface is concave around a position, through which the optical axis passes.

The optical image capturing system of the present invention could be applied in a dynamic focusing optical system. It is superior in the correction of aberration and high imaging quality so that it could be allied in lots of fields.

The optical image capturing system of the present invention could further include a driving module to meet different demands, wherein the driving module can be coupled with the lenses to move the lenses. The driving module can be a voice coil motor (VCM), which is used to move the lens for focusing, or can be an optical image stabilization (OIS) component, which is used to lower the possibility of having the problem of image blurring which is caused by subtle movements of the lens while shooting.

To meet different requirements, at least one lens among the first lens to the fifth lens of the optical image capturing system of the present invention can be a light filter, which filters out light of wavelength shorter than 500 nm. Such effect can be achieved by coating on at least one surface of the lens, or by using materials capable of filtering out short waves to make the lens.

To meet different requirements, the image plane of the optical image capturing system in the present invention can be either flat or curved. If the image plane is curved (e.g., a sphere with a radius of curvature), the incidence angle required for focusing light on the image plane can be decreased, which is not only helpful to shorten the length of the system (TTL), but also helpful to increase the relative illuminance.

We provide several embodiments in conjunction with the accompanying drawings for the best understanding, which are:

[First Embodiment]

As shown in FIG. 1A and FIG. 1B, an optical image capturing system 10 of the first embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens 110, an aperture 100, a second lens 120, a third lens 130, a fourth lens 140, a fifth lens 150, an infrared rays filter 170, an image plane 180, and an image sensor 190. FIG. 1C shows a tangential fan and a sagittal fan of the optical image capturing system 10 of the first embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of the aperture 100.

The first lens 110 has negative refractive power and is made of plastic. An object-side surface 112 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 114 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 112 has an inflection point thereon. A profile curve length of the maximum effective half diameter of an object-side surface of the first lens 110 is denoted by ARS11, and a profile curve length of the maximum effective half diameter of the image-side surface of the first lens 110 is denoted by ARS12. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the first lens 110 is denoted by ARE11, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the first lens 110 is denoted by ARE12. A thickness of the first lens 110 on the optical axis is TP1.

The first lens satisfies SGI111=1.96546 mm; |SGI111|/(|SGI111|+TP1)=0.72369, where SGI111 is a displacement on the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the closest to the optical axis, projects on the optical axis, and SGI121 is a displacement on the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the closest to the optical axis, projects on the optical axis.

The first lens satisfies HIF111=3.38542 mm; HIF111/HOI=0.90519, where HIF111 is a displacement perpendicular to the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis; HIF121 is a displacement perpendicular to the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis.

The second lens 120 has positive refractive power and is made of plastic. An object-side surface 122 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 124 thereof, which faces the image side, is a concave aspheric surface. A profile curve length of the maximum effective half diameter of an object-side surface of the second lens 120 is denoted by ARS21, and a profile curve length of the maximum effective half diameter of the image-side surface of the second lens 120 is denoted by ARS22. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the second lens 120 is denoted by ARE21, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the second lens 120 is denoted by ARE22. A thickness of the second lens 120 on the optical axis is TP2.

For the second lens, a displacement on the optical axis from a point on the object-side surface of the second lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the closest to the optical axis, projects on the optical axis, is denoted by SGI211, and a displacement on the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the closest to the optical axis, projects on the optical axis is denoted by SGI221.

For the second lens, a displacement perpendicular to the optical axis from a point on the object-side surface of the second lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF211, and a displacement perpendicular to the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF221.

The third lens 130 has positive refractive power and is made of plastic. An object-side surface 132, which faces the object side, is a convex aspheric surface, and an image-side surface 134, which faces the image side, is a convex aspheric surface. The object-side surface 132 has an inflection point. A profile curve length of the maximum effective half diameter of an object-side surface of the third lens 130 is denoted by ARS31, and a profile curve length of the maximum effective half diameter of the image-side surface of the third lens 130 is denoted by ARS32. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the third lens 130 is denoted by ARE31, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the third lens 130 is denoted by ARE32. A thickness of the third lens 130 on the optical axis is TP3.

The third lens 130 satisfies SGI311=0.00388 mm; |SGI311|/(|SGI311|+TP3)=0.00414, where SGI311 is a displacement on the optical axis from a point on the object-side surface of the third lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the closest to the optical axis, projects on the optical axis, and SGI321 is a displacement on the optical axis from a point on the image-side surface of the third lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the closest to the optical axis, projects on the optical axis.

For the third lens 130, SGI312 is a displacement on the optical axis from a point on the object-side surface of the third lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the second closest to the optical axis, projects on the optical axis, and SGI322 is a displacement on the optical axis from a point on the image-side surface of the third lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the second closest to the optical axis, projects on the optical axis.

The third lens 130 further satisfies HIF311=0.38898 mm; HIF311/HOI=0.10400, where HIF311 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the closest to the optical axis, and the optical axis; HIF321 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the closest to the optical axis, and the optical axis.

For the third lens 130, HIF312 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the second closest to the optical axis, and the optical axis; HIF322 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the second closest to the optical axis, and the optical axis.

The fourth lens 140 has positive refractive power and is made of plastic. An object-side surface 142, which faces the object side, is a convex aspheric surface, and an image-side surface 144, which faces the image side, is a convex aspheric surface. The object-side surface 142 has an inflection point. A profile curve length of the maximum effective half diameter of an object-side surface of the fourth lens 140 is denoted by ARS41, and a profile curve length of the maximum effective half diameter of the image-side surface of the fourth lens 140 is denoted by ARS42. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the fourth lens 140 is denoted by ARE41, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the fourth lens 140 is denoted by ARE42. A thickness of the fourth lens 140 on the optical axis is TP4.

The fourth lens 140 satisfies SGI421=0.06508 mm; |SGI421|/(|SGI421|+TP4)=0.03459, where SGI411 is a displacement on the optical axis from a point on the object-side surface of the fourth lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the closest to the optical axis, projects on the optical axis, and SGI421 is a displacement on the optical axis from a point on the image-side surface of the fourth lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the closest to the optical axis, projects on the optical axis.

For the fourth lens 140, SGI412 is a displacement on the optical axis from a point on the object-side surface of the fourth lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the second closest to the optical axis, projects on the optical axis, and SGI422 is a displacement on the optical axis from a point on the image-side surface of the fourth lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the second closest to the optical axis, projects on the optical axis.

The fourth lens 140 further satisfies HIF421=0.85606 mm; HIF421/HOI=0.22889, where HIF411 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis; HIF421 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis.

For the fourth lens 140, HIF412 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis; HIF422 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis.

The fifth lens 150 has negative refractive power and is made of plastic. An object-side surface 152, which faces the object side, is a concave aspheric surface, and an image-side surface 154, which faces the image side, is a concave aspheric surface. The object-side surface 152 and the image-side surface 154 both have an inflection point. A profile curve length of the maximum effective half diameter of an object-side surface of the fifth lens 150 is denoted by ARS51, and a profile curve length of the maximum effective half diameter of the image-side surface of the fifth lens 150 is denoted by ARS52. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the fifth lens 150 is denoted by ARE51, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the fifth lens 150 is denoted by ARE52. A thickness of the fifth lens 150 on the optical axis is TP5.

The fifth lens 150 satisfies SGI511=−1.51505 mm; |SGI511|/(|SGI511|+TP5)=0.70144; SGI521=0.01229 mm; |SGI521|/(|SGI521|+TP5)=0.01870, where SGI511 is a displacement on the optical axis from a point on the object-side surface of the fifth lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the closest to the optical axis, projects on the optical axis, and SGI521 is a displacement on the optical axis from a point on the image-side surface of the fifth lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the closest to the optical axis, projects on the optical axis.

For the fifth lens 150, SGI512 is a displacement on the optical axis from a point on the object-side surface of the fifth lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the second closest to the optical axis, projects on the optical axis, and SGI522 is a displacement on the optical axis from a point on the image-side surface of the fifth lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the second closest to the optical axis, projects on the optical axis.

The fifth lens 150 further satisfies HIF511=2.25435 mm; HIF511/HOI=0.60277; HIF521=0.82313 mm; HIF521/HOI=0.22009, where HIF511 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis; HIF521 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis.

For the fifth lens 150, HIF512 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis; HIF522 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis.

The infrared rays filter 170 is made of glass and between the fifth lens 150 and the image plane 180. The infrared rays filter 170 gives no contribution to the focal length of the system.

The optical image capturing system 10 of the first embodiment has the following parameters, which are f=3.03968 mm; f/HEP=1.6; HAF=50.001; and tan(HAF)=1.1918, where f is a focal length of the system; HAF is a half of the maximum field angle; and HEP is an entrance pupil diameter.

The parameters of the lenses of the first embodiment are f1=−9.24529 mm; |f/f1|=0.32878; f5=−2.32439; and |f1|>f5, where f1 is a focal length of the first lens 110; and f5 is a focal length of the fifth lens 150.

The first embodiment further satisfies |f2|+|f3|+|f4|=17.3009 mm; |f1|+|f5|=11.5697 mm and |f2|+f3|+|f4|>|f1|+|f5|, where f2 is a focal length of the second lens 120, f3 is a focal length of the third lens 130, f4 is a focal length of the fourth lens 140, and f5 is a focal length of the fifth lens 150.

The optical image capturing system 10 of the first embodiment further satisfies ΣPPR=f/f2+f/f3+f/f4=1.86768; ΣNPR=f/f1+f/f5=−1.63651; ΣPPR/|ΣNPR|=1.14125; |f/f2|=0.47958; |f/f3|=0.38289; |f/f4|=1.00521; |f/f5|=1.30773, where PPR is a ratio of a focal length fp of the optical image capturing system to a focal length fp of each of the lenses with positive refractive power; and NPR is a ratio of a focal length fn of the optical image capturing system to a focal length fn of each of lenses with negative refractive power.

The optical image capturing system 10 of the first embodiment further satisfies InTL+BFL=HOS; HOS=10.56320 mm; HOI=3.7400 mm; HOS/HOI=2.8244; HOS/f=3.4751; InS=6.21073 mm; and InS/HOS=0.5880, where InTL is a distance between the object-side surface 112 of the first lens 110 and the image-side surface 154 of the fifth lens 150; HOS is a height of the image capturing system, i.e. a distance between the object-side surface 112 of the first lens 110 and the image plane 180; InS is a distance between the aperture 100 and the image plane 180; HOI is a half of a diagonal of an effective sensing area of the image sensor 190, i.e., the maximum image height; and BFL is a distance between the image-side surface 154 of the fifth lens 150 and the image plane 180.

The optical image capturing system 10 of the first embodiment further satisfies ΣTP=5.0393 mm; InTL=9.8514 mm and ΣTP/InTL=0.5115, where ΣTP is a sum of the thicknesses of the lenses 110-150 with refractive power. It is helpful for the contrast of image and yield rate of manufacture and provides a suitable back focal length for installation of other elements.

The optical image capturing system 10 of the first embodiment further satisfies |R1/R2|=1.9672, where R1 is a radius of curvature of the object-side surface 112 of the first lens 110, and R2 is a radius of curvature of the image-side surface 114 of the first lens 110. It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration.

The optical image capturing system 10 of the first embodiment further satisfies (R9−R10)/(R9+R10)=−1.1505, where R9 is a radius of curvature of the object-side surface 152 of the fifth lens 150, and R10 is a radius of curvature of the image-side surface 154 of the fifth lens 150. It may modify the astigmatic field curvature.

The optical image capturing system 10 of the first embodiment further satisfies ΣPP=f2+f3+f4=17.30090 mm; and f2/(f2+f3+f4)=0.36635, where ΣPP is a sum of the focal length fp of each lens with positive refractive power. It is helpful to share the positive refractive power of the second lens 120 to other positive lenses to avoid the significant aberration caused by the incident rays.

The optical image capturing system 10 of the first embodiment further satisfies ΣNP=f1+f5=−11.56968 mm; and f5/(f1+f5)=0.20090, where ΣNP is a sum of the focal length fn of each lens with negative refractive power. It is helpful to share the negative refractive power of the fifth lens 150 to the other negative lens, which avoids the significant aberration caused by the incident rays.

The optical image capturing system 10 of the first embodiment further satisfies IN12=3.19016 mm; IN12/f=1.04951, where IN12 is a distance on the optical axis between the first lens 110 and the second lens 120. It may correct chromatic aberration and improve the performance.

The optical image capturing system 10 of the first embodiment further satisfies IN45=0.40470 mm; IN45/f=0.13314, where IN45 is a distance on the optical axis between the fourth lens 140 and the fifth lens 150. It may correct chromatic aberration and improve the performance.

The optical image capturing system 10 of the first embodiment further satisfies TP1=0.75043 mm; TP2=0.89543 mm; TP3=0.93225 mm; and (TP1+IN12)/TP2=4.40078, where TP1 is a central thickness of the first lens 110 on the optical axis, TP2 is a central thickness of the second lens 120 on the optical axis, and TP3 is a central thickness of the third lens 130 on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance.

The optical image capturing system 10 of the first embodiment further satisfies TP4=1.81634 mm; TP5=0.64488 mm; and (TP5+IN45)/TP4=0.57785, where TP4 is a central thickness of the fourth lens 140 on the optical axis, TP5 is a central thickness of the fifth lens 150 on the optical axis, and IN45 is a distance on the optical axis between the fourth lens 140 and the fifth lens 150. It may control the sensitivity of manufacture of the system and lower the total height of the system.

The optical image capturing system 10 of the first embodiment further satisfies TP2/TP3=0.96051; TP3/TP4=0.51325; TP4/TP5=2.81657; and TP3/(IN23+TP3+IN34)=0.43372, where IN34 is a distance on the optical axis between the third lens 130 and the fourth lens 140. It may control the sensitivity of manufacture of the system and lower the total height of the system.

The optical image capturing system 10 of the first embodiment further satisfies InRS41=−0.09737 mm; InRS42=−1.31040 mm; ∥InRS41|/TP4=0.05361 and |InRS42|/TP4=0.72145, where InRS41 is a displacement from a point on the object-side surface 142 of the fourth lens 140 passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface 142 of the fourth lens 140 ends; InRS42 is a displacement from a point on the image-side surface 144 of the fourth lens 140 passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface 144 of the fourth lens 140 ends; and TP4 is a central thickness of the fourth lens 140 on the optical axis. It is helpful for manufacturing and shaping of the lenses and is helpful to reduce the size.

The optical image capturing system 10 of the first embodiment further satisfies HVT41=1.41740 mm; HVT42=0, where HVT41 is a distance perpendicular to the optical axis between the critical point on the object-side surface 142 of the fourth lens and the optical axis; and HVT42 is a distance perpendicular to the optical axis between the critical point on the image-side surface 144 of the fourth lens and the optical axis.

The optical image capturing system 10 of the first embodiment further satisfies InRS51=−1.63543 mm; InRS52=−0.34495 mm; |InRS51|/TP5=2.53604 and |InRS52|/TP5=0.53491, where InRS51 is a displacement from a point on the object-side surface 152 of the fifth lens 150 passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface 152 of the fifth lens 150 ends; InRS52 is a displacement from a point on the image-side surface 154 of the fifth lens 150 passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface 154 of the fifth lens 150 ends; and TP5 is a central thickness of the fifth lens 150 on the optical axis. It is helpful for manufacturing and shaping of the lenses and is helpful to reduce the size.

The optical image capturing system 10 of the first embodiment satisfies HVT51=0; HVT52=1.35891 mm; and HVT51/HVT52=0, where HVT51 a distance perpendicular to the optical axis between the critical point on the object-side surface 152 of the fifth lens and the optical axis; and HVT52 a distance perpendicular to the optical axis between the critical point on the image-side surface 154 of the fifth lens and the optical axis.

The optical image capturing system 10 of the first embodiment satisfies HVT52/HOI=0.36334. It is helpful for correction of the aberration of the peripheral view field of the optical image capturing system.

The optical image capturing system 10 of the first embodiment satisfies HVT52/HOS=0.12865. It is helpful for correction of the aberration of the peripheral view field of the optical image capturing system.

The third lens 130 and the fifth lens 150 have negative refractive power. The optical image capturing system 10 of the first embodiment further satisfies NA5/NA3=0.368966, where NA3 is an Abbe number of the third lens 130; and NA5 is an Abbe number of the fifth lens 150. It may correct the aberration of the optical image capturing system.

The optical image capturing system 10 of the first embodiment further satisfies |TDT|=0.63350%; |ODT|=2.06135%, where TDT is TV distortion; and ODT is optical distortion.

For the fifth lens 150 of the optical image capturing system 10 in the first embodiment, a transverse aberration at 0.7 field of view in the positive direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture 100 is denoted by PLTA, and is −0.042 mm; a transverse aberration at 0.7 field of view in the positive direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture 100 is denoted by PSTA, and is 0.056 mm; a transverse aberration at 0.7 field of view in the negative direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture 100 is denoted by NLTA, and is −0.011 mm; a transverse aberration at 0.7 field of view in the negative direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture 100 is denoted by NSTA, and is −0.024 mm; a transverse aberration at 0.7 field of view of the sagittal fan after the longest operation wavelength passing through the edge of the aperture 100 is denoted by SLTA, and is −0.013 mm; a transverse aberration at 0.7 field of view of the sagittal fan after the shortest operation wavelength passing through the edge of the aperture 100 is denoted by SSTA, and is 0.018 mm.

The parameters of the lenses of the first embodiment are listed in Table 1 and Table 2.

TABLE 1 f = 3.03968 mm; f/HEP = 1.6; HAF = 50.0010 deg Focal Radius of curvature Thickness Refractive Abbe length Surface (mm) (mm) Material index number (mm) 0 Object plane infinity 1 1^(st) lens 4.01438621 0.750 plastic 1.514 56.80 −9.24529 2 2.040696375 3.602 3 Aperture plane −0.412 4 2^(nd) lens 2.45222384 0.895 plastic 1.565 58.00 6.33819 5 6.705898264 0.561 6 3^(rd) lens 16.39663088 0.932 plastic 1.565 58.00 7.93877 7 −6.073735083 0.656 8 4^(th) lens 4.421363446 1.816 plastic 1.565 58.00 3.02394 9 −2.382933539 0.405 10 5^(th) lens −1.646639396 0.645 plastic 1.650 21.40 −2.32439 11 23.53222697 0.100 12 Infrared 1E+18 0.200 BK7_SCH 1.517 64.20 rays filter 13 1E+18 0.412 14 Image 1E+18 plane Reference wavelength: 555 nm.

TABLE 2 Coefficients of the aspheric surfaces Surface 1 2 4 5 6 7 8 k −1.882119E−01 −1.927558E+00 −6.483417E+00 1.766123E+01 −5.000000E+01 −3.544648E+01 −3.167522E+01 A4 7.686381E−04 3.070422E−02 5.439775E−02 7.241691E−03 −2.985209E−02 −6.315366E−02 −1.903506E−03 A6 4.630306E−04 −3.565153E−03 −7.980567E−03 −8.359563E−03 −7.175713E−03 6.038040E−03 −1.806837E−03 A8 3.178966E−05 2.062259E−03 −3.537039E−04 1.303430E−02 4.284107E−03 4.674156E−03 −1.670351E−03 A10 −1.773597E−05 −1.571117E−04 2.844845E−03 −6.951350E−03 −5.492349E−03 −8.031117E−03 4.791024E−04 A12 1.620619E−06 −4.694004E−05 −1.025049E−03 1.366262E−03 1.232072E−03 3.319791E−03 −5.594125E−05 A14 −4.916041E−08 7.399980E−06 1.913679E−04 3.588298E−04 −4.107269E−04 −5.356799E−04 3.704401E−07 A16 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 A18 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 A20 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 Surface 8 9 10 k −2.470764E+00 −1.570351E+00 4.928899E+01 A4 −2.346908E−04 −4.250059E−04 −4.625703E−03 A6 2.481207E−03 −1.591781E−04 −7.108872E−04 A8 −5.862277E−04 −3.752177E−05 3.429244E−05 A10 −1.955029E−04 −9.210114E−05 2.887298E−06 A12 1.880941E−05 −1.101797E−05 3.684628E−07 A14 1.132586E−06 3.536320E−06 −4.741322E−08 A16 0.000000E+00 0.000000E+00 0.000000E+00 A18 0.000000E+00 0.000000E+00 0.000000E+00 A20 0.000000E+00 0.000000E+00 0.000000E+00

The figures related to the profile curve lengths obtained based on Table 1 and Table 2 are listed in the following table:

First embodiment (Reference wavelength: 555 nm) ARE ½(HEP) ARE value ARE − ½(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 0.950 0.958 0.008 100.87% 0.750 127.69% 12 0.950 0.987 0.037 103.91% 0.750 131.53% 21 0.950 0.976 0.026 102.74% 0.895 108.99% 22 0.950 0.954 0.004 100.42% 0.895 106.52% 31 0.950 0.949 −0.001 99.94% 0.932 101.83% 32 0.950 0.959 0.009 100.93% 0.932 102.84% 41 0.950 0.953 0.003 100.29% 1.816 52.45% 42 0.950 0.970 0.020 102.15% 1.816 53.42% 51 0.950 0.995 0.045 104.71% 0.645 154.24% 52 0.950 0.949 −0.001 99.92% 0.645 147.18% ARS EHD ARS value ARS − EHD (ARS/EHD) % TP ARS/TP (%) 11 3.459 4.210 0.751 121.71% 0.750 561.03% 12 2.319 3.483 1.165 150.24% 0.750 464.19% 21 1.301 1.384 0.084 106.43% 0.895 154.61% 22 1.293 1.317 0.024 101.87% 0.895 147.09% 31 1.400 1.447 0.047 103.39% 0.932 155.22% 32 1.677 1.962 0.285 116.97% 0.932 210.45% 41 2.040 2.097 0.057 102.82% 1.816 115.48% 42 2.338 2.821 0.483 120.67% 1.816 155.32% 51 2.331 2.971 0.639 127.43% 0.645 460.64% 52 3.219 3.267 0.049 101.51% 0.645 506.66%

The detail parameters of the first embodiment are listed in Table 1, in which the unit of the radius of curvature, thickness, and focal length are millimeter, and surface 0-10 indicates the surfaces of all elements in the system in sequence from the object side to the image side. Table 2 is the list of coefficients of the aspheric surfaces, in which A1-A20 indicate the coefficients of aspheric surfaces from the first order to the twentieth order of each aspheric surface. The following embodiments have the similar diagrams and tables, which are the same as those of the first embodiment, so we do not describe it again.

[Second Embodiment]

As shown in FIG. 2A and FIG. 2B, an optical image capturing system 20 of the second embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 200, a first lens 210, a second lens 220, a third lens 230, a fourth lens 240, a fifth lens 250, an infrared rays filter 270, an image plane 280, and an image sensor 290. FIG. 2C is a transverse aberration diagram at 0.7 field of view of the second embodiment of the present application.

The first lens 210 has negative refractive power and is made of plastic. An object-side surface 212 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 214 thereof, which faces the image side, is a concave aspheric surface. The image-side surface 214 has two inflection points.

The second lens 220 has positive refractive power and is made of plastic. An object-side surface 222 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 224 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 222 and the image-side surface 224 both have an inflection point.

The third lens 230 has negative refractive power and is made of plastic. An object-side surface 232, which faces the object side, is a convex aspheric surface, and an image-side surface 234, which faces the image side, is a concave aspheric surface. The object-side surface 232 has an inflection point, and the image-side surface 234 has two inflection points.

The fourth lens 240 has positive refractive power and is made of plastic. An object-side surface 242, which faces the object side, is a convex aspheric surface, and an image-side surface 244, which faces the image side, is a convex aspheric surface. The object-side surface 242 and the image-side surface 244 both have two inflection points.

The fifth lens 250 has negative refractive power and is made of plastic. An object-side surface 252, which faces the object side, is a convex aspheric surface, and an image-side surface 254, which faces the image side, is a concave aspheric surface. The object-side surface 252 and the image-side surface 254 both have an inflection point. It may help to shorten the back focal length to keep small in size. In addition, it may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view.

The infrared rays filter 270 is made of glass and between the fifth lens 250 and the image plane 280. The infrared rays filter 270 gives no contribution to the focal length of the system.

The parameters of the lenses of the second embodiment are listed in Table 3 and Table 4.

TABLE 3 f = 8.5040 mm; f/HEP = 1.6; HAF = 30 deg Focal Radius of curvature Thickness Refractive Abbe length Surface (mm) (mm) Material index number (mm) 0 Object 1E+18 1E+13 1 Aperture 1E+18 −0.826 2 1^(st) lens 4.114310798 0.441 plastic 1.514 56.80 −32.948 3 3.191384953 0.480 4 2^(nd) lens 2.847545167 0.769 plastic 1.565 58.00 8.773 5 6.012172103 1.285 6 3^(rd) lens 15.45457339 0.963 plastic 1.607 26.60 −8.339 7 3.741714112 0.343 8 4^(th) lens 19.85906647 3.554 plastic 1.565 58.00 6.234 9 −4.019493952 1.977 10 5^(th) lens 3.001310069 1.090 plastic 1.661 20.40 −29.413 11 2.224914789 1.000 12 Infrared 1E+18 0.200 NBK7 rays filter 13 1E+18 1.736 14 Image 1E+18 0.017 plane Reference wavelength: 555 nm.

TABLE 4 Coefficients of the aspheric surfaces Surface 2 3 4 5 6 7 8 k −2.980767E−01 −7.419406E−02 −1.202645E−01 2.099998E+00 −7.998610E+00 −7.834657E−02 1.159122E+01 A4 −8.330656E−03 −2.377301E−02 −8.615613E−03 1.997061E−03 −2.070481E−02 −2.000279E−02 2.546548E−04 A6 1.441662E−03 1.906883E−03 −4.559027E−04 −7.699118E−04 4.517968E−04 1.397869E−03 −2.927964E−04 A8 −1.149337E−04 −1.190789E−04 −6.032359E−05 −1.462758E−04 1.688388E−05 −1.074563E−04 −2.147114E−05 A10 4.940275E−06 5.619526E−07 −5.862813E−06 7.940893E−06 −6.520948E−06 2.686354E−06 1.947516E−06 A12 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 Surface 9 10 11 k −1.739382E−01 −2.254707E+00 −2.599737E+00 A4 −2.432716E−03 −1.172201E−02 −9.404782E−03 A6 5.138644E−04 7.670735E−04 6.160649E−04 A8 −3.834529E−05 −2.657333E−05 −2.559747E−05 A10 1.415586E−06 2.297212E−07 3.863056E−07 A12 0.000000E+00 0.000000E+00 0.000000E+00

An equation of the aspheric surfaces of the second embodiment is the same as that of the first embodiment, and the definitions are the same as well.

The exact parameters of the second embodiment based on Table 3 and Table 4 are listed in the following table:

Second embodiment (Reference wavelength: 555 nm) |f/f1| |f/f2| |f/f3| |f/f4| |f/f5| |f1/f2| 0.25810 0.96931 1.01982 1.36420 0.28913 3.75555 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN45/f |f2/f3| 2.3335  1.5671  1.4891  0.0565  0.2325  1.0521  TP3/(IN23 + TP3 + IN34) (TP1 + IN12)/TP2 (TP5 + IN45)/TP4 0.37162 1.19758 0.86273 HOS InTL HOS/HOI InS/HOS ODT % TDT % 13.85580  10.90230  2.77116 0.94041 1.75449 2.95914 HVT11 HVT12 HVT21 HVT22 HVT31 HVT32 0     0     0     2.3749   0.890815 2.54632 HVT41 HVT42 HVT51 HVT52 HVT52/HOI HVT52/HOS 2.31435 0.00000 3.32754 3.55072 0.66551 0.24016 TP2/TP3 TP3/TP4 InRS51 InRS52 |InRS51|/TP5 |InRS52|/TP5 0.79912 0.27084 0.33597  0.510837 0.30833 0.46881 PSTA PLTA NSTA NLTA SSTA SLTA 0.004 mm 0.001 mm 0.007 mm −0.011 mm 0.007 mm 0.008 mm

The figures related to the profile curve lengths obtained based on Table 3 and Table 4 are listed in the following table:

Second embodiment (Reference wavelength: 555 nm) ARE ½(HEP) ARE value ARE − ½(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 2.658 2.824 0.167 106.28% 0.441 640.21% 12 2.658 2.728 0.070 102.65% 0.441 618.36% 21 2.658 2.809 0.151 105.69% 0.769 365.08% 22 2.658 2.698 0.040 101.51% 0.769 350.65% 31 2.658 2.891 0.234 108.79% 0.963 300.31% 32 2.658 2.689 0.031 101.18% 0.963 279.29% 41 2.658 2.660 0.002 100.09% 3.554 74.83% 42 2.658 2.891 0.233 108.78% 3.554 81.33% 51 2.658 2.732 0.075 102.82% 1.090 250.77% 52 2.658 2.795 0.138 105.18% 1.090 256.51% ARS EHD ARS value ARS − EHD (ARS/EHD) % TP ARS/TP (%) 11 2.658 2.824 0.167 106.28% 0.441 640.21% 12 2.659 2.729 0.070 102.64% 0.441 618.59% 21 2.770 2.922 0.151 105.47% 0.769 379.79% 22 2.788 2.839 0.051 101.83% 0.769 369.03% 31 2.766 3.085 0.319 111.52% 0.963 320.42% 32 3.608 3.671 0.063 101.74% 0.963 381.31% 41 3.660 3.684 0.024 100.66% 3.554 103.65% 42 4.138 5.007 0.869 121.01% 3.554 140.88% 51 4.332 4.488 0.157 103.61% 1.090 411.89% 52 4.772 5.029 0.258 105.40% 1.090 461.54%

The results of the equations of the second embodiment based on Table 3 and Table 4 are listed in the following table:

Values related to the inflection points of the second embodiment (Reference wavelength: 555 nm) HIF121 1.6093 HIF121/HOI 0.3219 SGI121 0.3013 |SGI121|/(|SGI121| + TP1) 0.4058 HIF122 2.4772 HIF122/HOI 0.4954 SGI122 0.5363 |SGI122|/(|SGI122| + TP1) 0.5487 HIF211 1.8281 HIF211/HOI 0.3656 SGI211 0.5294 |SGI211|/(|SGI211| + TP2) 0.4076 HIF221 1.6752 HIF221/HOI 0.3350 SGI221 0.2405 |SGI221|/(|SGI221| + TP2) 0.2381 HIF311 0.5111 HIF311/HOI 0.1022 SGI311 0.0070 |SGI311|/(|SGI311| + TP3) 0.0073 HIF321 1.3210 HIF321/HOI 0.2642 SGI321 0.1859 |SGI321|/(|SGI321| + TP3) 0.1618 HIF322 3.3705 HIF322/HOI 0.6741 SGI322 0.2077 |SGI322|/(|SGI322| + TP3) 0.1775 HIF411 1.5672 HIF411/HOI 0.3134 SGI411 0.0597 |SGI411|/(|SGI411| + TP4) 0.0165 HIF412 3.3002 HIF412/HOI 0.6600 SGI412 −0.0483 |SGI412|/(|SGI412| + TP4) 0.0134 HIF421 3.7842 HIF421/HOI 0.7568 SGI421 −2.0977 |SGI421|/(|SGI421| + TP4) 0.3711 HIF422 3.9160 HIF422/HOI 0.7832 SGI422 −2.2439 |SGI422|/(|SGI422| + TP4) 0.3870 HIF511 1.5176 HIF511/HOI 0.3035 SGI511 0.3035 |SGI511|/(|SGI511| + TP5) 0.2179 HIF521 1.5718 HIF521/HOI 0.3144 SGI521 0.4253 |SGI521|/(|SGI521| + TP5) 0.2807

[Third Embodiment]

As shown in FIG. 3A and FIG. 3B, an optical image capturing system of the third embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 300, a first lens 310, a second lens 320, a third lens 330, a fourth lens 340, a fifth lens 350, an infrared rays filter 370, an image plane 380, and an image sensor 390. FIG. 3C is a transverse aberration diagram at 0.7 field of view of the third embodiment of the present application.

The first lens 310 has positive refractive power and is made of plastic. An object-side surface 312 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 314 thereof, which faces the image side, is a convex aspheric surface. The image-side surface 314 has an inflection point.

The second lens 320 has positive refractive power and is made of plastic. An object-side surface 322 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 324 thereof, which faces the image side, is a concave aspheric surface.

The third lens 330 has negative refractive power and is made of plastic. An object-side surface 332 thereof, which faces the object side, is a convex surface, and an image-side surface 334 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 332 has three inflection points.

The fourth lens 340 has positive refractive power and is made of plastic. An object-side surface 342, which faces the object side, is a convex aspheric surface, and an image-side surface 344, which faces the image side, is a convex aspheric surface. The object-side surface 342 has an inflection point.

The fifth lens 350 has negative refractive power and is made of plastic. An object-side surface 352, which faces the object side, is a concave surface, and an image-side surface 354, which faces the image side, is a convex surface. The object-side surface 352 has an inflection point. It may help to shorten the back focal length to keep small in size.

The infrared rays filter 370 is made of glass and between the fifth lens 350 and the image plane 380. The infrared rays filter 390 gives no contribution to the focal length of the system.

The parameters of the lenses of the third embodiment are listed in Table 5 and Table 6.

TABLE 5 f = 18.2969 mm; f/HEP = 1.6; HAF = 15 deg Focal Radius of curvature Thickness Refractive Abbe length Surface (mm) (mm) Material index number (mm) 0 Object 1E+18 1E+13 1 Aperture 1E+18 −2.978 2 1^(st) lens 6.554371668 4.412 plastic 1.565 58.00 11.300 3 −211.7152777 0.066 4 2^(nd) lens 9.98718216 1.281 plastic 1.565 58.00 29.963 5 23.12125722 0.598 6 3^(rd) lens 38.95570799 0.690 plastic 1.661 20.40 −8.298 7 4.810621404 5.064 8 4^(th) lens 103.702764 2.166 plastic 1.661 20.40 11.243 9 −8.013104081 0.264 10 5^(th) lens −5.015717295 0.845 plastic 1.565 58.00 −11.830 11 −21.11991266 0.100 12 Infrared 1E+18 0.200 BK_7 1.517 23.89 rays filter 13 1E+18 2.317 14 Image 1E+18 −0.003 plane Reference wavelength: 555 nm; the position of blocking light: none.

TABLE 6 Coefficients of the aspheric surfaces Surface 2 3 4 5 6 k −1.348746E−01 −5.000000E+01 3.250702E+00 2.816764E+00 −2.139729E+01 A4 −5.776488E−05 7.217935E−05 −1.961148E−04 1.177479E−03 −4.370928E−04 A6 −1.320587E−06 2.866757E−07 −1.201508E−05 −9.835966E−05 −2.942609E−05 A8 −1.691000E−08 1.310354E−07 −4.841686E−07 2.827975E−06 3.928295E−06 A10 −1.152064E−09 −2.406860E−09 3.810963E−08 5.896078E−08 −1.082415E−07 A12 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 Surface 7 8 9 10 11 k 6.669044E−01 5.000000E+01 5.687080E−02 −2.494890E+00 4.940616E+00 A4 −2.066273E−03 −1.510328E−03 −1.898175E−04 −5.518352E−04 −9.989111E−04 A6 4.108396E−05 −1.359968E−04 −1.393332E−04 −6.669906E−05 −9.257760E−07 A8 1.820178E−06 5.685535E−06 −6.751000E−07 −4.023061E−06 −1.037336E−06 A10 −2.003579E−07 −4.530401E−07 9.779517E−08 1.984131E−07 −3.567327E−09 A12 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00

An equation of the aspheric surfaces of the third embodiment is the same as that of the first embodiment, and the definitions are the same as well.

The exact parameters of the third embodiment based on Table 5 and Table 6 are listed in the following table:

Third embodiment (Reference wavelength: 555 nm) |f/f1| |f/f2| |f/f3| |f/f4| |f/f5| |f1/f2| 1.61925 0.61065 2.20499 1.62748 1.54663 0.37712 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN45/f |f2/f3| 3.7848  3.8242  0.9897  0.0036  0.0144  3.6109  TP3/(IN23 + TP3 + IN34) (TP1 + IN12)/TP2 (TP5 + IN45)/TP4 0.10858 3.49640 0.51191 HOS InTL HOS/HOI InS/HOS ODT % TDT % 18.00000  15.38550  3.60000 0.83457 2     1.47869 HVT11 HVT12 HVT21 HVT22 HVT31 HVT32 0.00000 3.38449 0     0     0     0     HVT41 HVT42 HVT51 HVT52 HVT52/HOI HVT52/HOS 1.16877 0.00000 0.00000 0.00000 0.00000 0.00000 TP2/TP3 TP3/TP4 InRS51 InRS52 |InRS51|/TP5 |InRS52|/TP5 1.85685 0.31839 −2.3768  −1.90346  2.81388 2.25350 PSTA PLTA NSTA NLTA SSTA SLTA 0.009 mm 0.010 mm −0.005 mm −0.007 mm 0.014 mm 0.003 mm

The figures related to the profile curve lengths obtained based on Table 5 and Table 6 are listed in the following table:

Third embodiment (Reference wavelength: 555 nm) ARE ARE − 2(ARE/HEP) ARE ½(HEP) value ½(HEP) % TP ARE/TP (%) 11 5.718 6.677 0.959 116.77% 4.412 151.33% 12 5.292 5.292 0.000 100.00% 4.412 119.95% 21 4.627 5.013 0.386 108.35% 1.281 391.44% 22 4.315 4.401 0.086 102.00% 1.281 343.66% 31 4.275 4.277 0.002 100.04% 0.690 620.08% 32 3.420 3.875 0.455 113.29% 0.690 561.79% 41 4.049 4.422 0.373 109.21% 2.166 204.15% 42 4.550 5.515 0.965 121.22% 2.166 254.58% 51 4.604 5.470 0.867 118.83% 0.845 647.65% 52 5.250 6.036 0.786 114.97% 0.845 714.63% ARS ARS EHD value ARS − EHD (ARS/EHD) % TP ARS/TP (%) 11 5.718 6.677 0.959 116.77% 4.412 151.33% 12 5.292 5.292 0.000 100.00% 4.412 119.95% 21 4.627 5.013 0.386 108.35% 1.281 391.44% 22 4.315 4.401 0.086 102.00% 1.281 343.66% 31 4.275 4.277 0.002 100.04% 0.690 620.08% 32 3.420 3.875 0.455 113.29% 0.690 561.79% 41 4.049 4.422 0.373 109.21% 2.166 204.15% 42 4.550 5.515 0.965 121.22% 2.166 254.58% 51 4.604 5.470 0.867 118.83% 0.845 647.65% 52 5.250 6.036 0.786 114.97% 0.845 714.63%

The results of the equations of the third embodiment based on Table 5 and Table 6 are listed in the following table:

Values related to the inflection points of the third embodiment (Reference wavelength: 555 nm) HIF121 2.1278 HIF121/HOI 0.4256 SGI121 −0.0091 |SGI121|/(|SGI121| + TP1) 0.0021 HIF311 2.0115 HIF311/HOI 0.4023 SGI311 0.0431 |SGI311|/(|SGI311| + TP3) 0.0588 HIF312 3.0291 HIF312/HOI 0.6058 SGI312 0.0756 |SGI312|/(|SGI312| + TP3) 0.0988 HIF313 3.7829 HIF313/HOI 0.7566 SGI313 0.0996 |SGI313|/(|SGI313| + TP3) 0.1262 HIF411 0.6952 HIF411/HOI 0.1390 SGI411 0.0020 |SGI411|/(|SGI411| + TP4) 0.0009 HIF511 4.4397 HIF511/HOI 0.8879 SGI511 −2.3309 |SGI511|/(|SGI511| + TP5) 0.7340

[Fourth Embodiment]

As shown in FIG. 4A and FIG. 4B, an optical image capturing system 40 of the fourth embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 400, a first lens 410, a second lens 420, a third lens 430, a fourth lens 440, a fifth lens 450, an infrared rays filter 470, an image plane 480, and an image sensor 490. FIG. 4C is a transverse aberration diagram at 0.7 field of view of the fourth embodiment of the present application.

The first lens 410 has positive refractive power and is made of plastic. An object-side surface 412 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 414 thereof, which faces the image side, is a concave aspheric surface. The image-side surface 414 has an inflection point.

The second lens 420 has positive refractive power and is made of plastic. An object-side surface 422 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 424 thereof, which faces the image side, is a convex aspheric surface. The image-side 424 surface has an inflection point.

The third lens 430 has negative refractive power and is made of plastic. An object-side surface 432 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 434 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 432 has an inflection point.

The fourth lens 440 has positive refractive power and is made of plastic. An object-side surface 442, which faces the object side, is a convex aspheric surface, and an image-side surface 444, which faces the image side, is a convex aspheric surface. The object-side surface 442 has an inflection point.

The fifth lens 450 has negative refractive power and is made of plastic. An object-side surface 452, which faces the object side, is a convex aspheric surface, and an image-side surface 454, which faces the image side, is a concave aspheric surface. The object-side surface 452 and the image-side surface 454 both have an inflection point. It may help to shorten the back focal length to keep small in size.

The infrared rays filter 470 is made of glass and between the fifth lens 450 and the image plane 480. The infrared rays filter 470 gives no contribution to the focal length of the system.

The parameters of the lenses of the fourth embodiment are listed in Table 7 and Table 8.

TABLE 7 f = 13.4657 mm; f/HEP = 1.6; HAF = 20 deg Focal Radius of curvature Thickness Refractive Abbe length Surface (mm) (mm) Material index number (mm) 0 Object 1E+18 1E+13 1 Aperture 1E+18 −1.751 2 1^(st) lens 5.380806149 1.388 plastic 1.565 58.00 35.547 3 6.656398443 0.645 4 2^(nd) lens 5.595748755 1.928 plastic 1.565 58.00 9.269 5 −75.17370925 0.104 6 3^(rd) lens 8.231504704 1.386 plastic 1.661 20.40 −8.646 7 3.162120699 3.658 8 4^(th) lens 29.90494337 2.163 plastic 1.607 26.60 10.200 9 −7.658827876 0.802 10 5^(th) lens −12.2979467 0.867 plastic 1.565 54.50 −11.261 11 13.61188357 0.100 12 Infrared 1E+18 0.200 BK_7 rays filter 13 1E+18 1.754 14 Image 1E+18 0.004 plane Reference wavelength: 555 nm; the position of blocking light: none.

TABLE 8 Coefficients of the aspheric surfaces Surface 2 3 4 5 6 k 2.162819E−02 −1.554548E−01 3.695729E−01 5.000000E+01 −6.568906E+00 A4 −5.007940E−04 −1.554061E−03 −4.085276E−04 2.927118E−03 −3.021159E−03 A6 −6.151657E−06 −2.490223E−05 −4.059631E−05 −1.272890E−04 1.470998E−04 A8 −1.232020E−07 4.811365E−07 5.673920E−07 9.326070E−06 −1.687507E−06 A10 −2.266114E−08 1.322054E−08 2.448731E−08 −2.136797E−07 −8.395733E−08 A12 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 Surface 7 8 9 10 11 k −2.574262E−01 5.755016E+00 −5.186804E−02 4.821064E+00 −5.000000E+01 A4 −8.889925E−03 −1.151574E−03 5.499917E−04 −3.911830E−03 −3.651049E−03 A6 5.421101E−04 −3.324056E−05 −3.283574E−05 2.898090E−04 5.083133E−05 A8 −3.604958E−05 −4.834292E−06 −6.661406E−06 −1.763684E−05 −2.342635E−06 A10 1.041340E−06 −5.302946E−08 2.014446E−07 4.412755E−07 2.804506E−08 A12 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00

An equation of the aspheric surfaces of the fourth embodiment is the same as that of the first embodiment, and the definitions are the same as well.

The exact parameters of the fourth embodiment based on Table 7 and Table 8 are listed in the following table:

Fourth embodiment (Reference wavelength: 555 nm) |f/f1| |f/f2| |f/f3| |f/f4| |f/f5| |f1/f2| 0.37882 1.45278 1.55744 1.32014 1.19582 3.83502 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN45/f |f2/f3| 3.9687  1.9363  2.0497  0.0479  0.0596  1.0720  TP3/(IN23 + TP3 + IN34) (TP1 + IN12)/TP2 (TP5 + IN45)/TP4 0.26925 1.05413 0.77145 HOS InTL HOS/HOI InS/HOS ODT % TDT % 15.00000  12.94170  3.00000 0.88329 1.99978 0.87879 HVT11 HVT12 HVT21 HVT22 HVT31 HVT32 0.00000 0     0     1.10889 0     0     HVT41 HVT42 HVT51 HVT52 HVT52/HOI HVT52/HOS 2.25678 0.00000 0.00000 1.94657 0.00000 0.00000 TP2/TP3 TP3/TP4 InRS51 InRS52 |InRS51|/TP5 |InRS52|/TP5 1.39116 0.64073 −1.84429  −1.72592  2.12820 1.99160 PSTA PLTA NSTA NLTA SSTA SLTA 0.013 mm 0.003 mm −0.009 mm −0.004 mm 0.008 mm 0.002 mm

The figures related to the profile curve lengths obtained based on Table 7 and Table 8 are listed in the following table:

Fourth embodiment (Reference wavelength: 555 nm) ARE ARE − 2(ARE/HEP) ARE ½(HEP) value ½(HEP) % TP ARE/TP (%) 11 4.208 4.690 0.482 111.44% 1.388 337.82% 12 4.163 4.274 0.112 102.68% 1.388 307.90% 21 4.022 4.467 0.445 111.07% 1.928 231.64% 22 3.754 3.803 0.049 101.29% 1.928 197.21% 31 3.710 3.732 0.022 100.60% 1.386 269.21% 32 3.097 3.492 0.395 112.74% 1.386 251.92% 41 3.952 4.086 0.134 103.40% 2.163 188.88% 42 4.208 4.633 0.425 110.09% 2.163 214.14% 51 4.208 4.604 0.396 109.41% 0.867 531.30% 52 4.208 4.381 0.173 104.11% 0.867 505.54% ARS ARS EHD value ARS − EHD (ARS/EHD) % TP ARS/TP (%) 11 4.236 4.727 0.491 111.60% 1.388 340.53% 12 4.163 4.274 0.112 102.68% 1.388 307.90% 21 4.022 4.467 0.445 111.07% 1.928 231.64% 22 3.754 3.803 0.049 101.29% 1.928 197.21% 31 3.710 3.732 0.022 100.60% 1.386 269.21% 32 3.097 3.492 0.395 112.74% 1.386 251.92% 41 3.952 4.086 0.134 103.40% 2.163 188.88% 42 4.459 5.031 0.573 112.85% 2.163 232.57% 51 4.726 5.308 0.582 112.31% 0.867 612.52% 52 5.186 6.023 0.837 116.14% 0.867 694.98%

The results of the equations of the fourth embodiment based on Table 7 and Table 8 are listed in the following table:

Values related to the inflection points of the fourth embodiment (Reference wavelength: 555 nm) HIF121 2.9816 HIF121/HOI 0.5963 SGI121 0.5622 |SGI121|/(|SGI121| + TP1) 0.2882 HIF221 0.6301 HIF221/HOI 0.1260 SGI221 −0.0022 |SGI221|/(|SGI221| + TP2) 0.0011 HIF311 1.9496 HIF311/HOI 0.3899 SGI311 0.1792 |SGI311|/(|SGI311| + TP3) 0.1145 HIF411 1.4200 HIF411/HOI 0.2840 SGI411 0.0288 |SGI411|/(|SGI411| + TP4) 0.0131 HIF511 4.3156 HIF511/HOI 0.8631 SGI511 −1.6063 |SGI511|/(|SGI511| + TP5) 0.6496 HIF521 1.0788 HIF521/HOI 0.2158 SGI521 0.0350 |SGI521|/(|SGI521| + TP5) 0.0388

[Fifth Embodiment]

As shown in FIG. 5A and FIG. 5B, an optical image capturing system of the fifth embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 500, a first lens 510, a second lens 520, a third lens 530, a fourth lens 540, a fifth lens 550, an infrared rays filter 570, an image plane 580, and an image sensor 590. FIG. 5C is a transverse aberration diagram at 0.7 field of view of the fifth embodiment of the present application.

The first lens 510 has positive refractive power and is made of plastic. An object-side surface 512, which faces the object side, is a convex aspheric surface, and an image-side surface 514, which faces the image side, is a concave aspheric surface. The image-side surface 514 has two inflection points.

The second lens 520 has negative refractive power and is made of plastic. An object-side surface 522 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 524 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 522 has an inflection point.

The third lens 530 has positive refractive power and is made of plastic. An object-side surface 532, which faces the object side, is a convex aspheric surface, and an image-side surface 534, which faces the image side, is a concave aspheric surface. The object-side surface 532 has two inflection points, and the image-side surface 534 has an inflection point.

The fourth lens 540 has positive refractive power and is made of plastic. An object-side surface 542, which faces the object side, is a concave aspheric surface, and an image-side surface 544, which faces the image side, is a convex aspheric surface. The image-side surface 544 has an inflection point.

The fifth lens 550 has negative refractive power and is made of plastic. An object-side surface 552, which faces the object side, is a concave aspheric surface, and an image-side surface 554, which faces the image side, is a convex aspheric surface. The image-side surface 554 has two inflection points. It may help to shorten the back focal length to keep small in size.

The infrared rays filter 570 is made of glass and between the fifth lens 550 and the image plane 580. The infrared rays filter 570 gives no contribution to the focal length of the system.

The parameters of the lenses of the fifth embodiment are listed in Table 9 and Table 10.

TABLE 9 f = 13.4695 mm; f/HEP = 1.6; HAF = 25.001 deg Focal Radius of curvature Thickness Refractive Abbe length Surface (mm) (mm) Material index number (mm) 0 Object 1E+18 1E+13 1 Aperture 1E+18 −1.607 2 1^(st) lens 3.379849269 2.273 plastic 1.550 56.50 6.990 3 20.78629305 0.050 4 2^(nd) lens 6.29869248 0.200 plastic 1.661 20.40 −14.017 5 3.715098428 1.220 6 3^(rd) lens 9.571450915 0.594 plastic 1.583 30.20 69.763 7 12.20784618 1.502 8 4^(th) lens −27.07921028 0.786 plastic 1.661 20.40 15.058 9 −7.409719777 1.187 10 5^(th) lens −3.412292393 0.592 plastic 1.565 54.50 −7.424 11 −19.16608351 0.800 12 Infrared 1E+18 0.200 1.517 64.13 rays filter 13 1E+18 1.009 14 Image 1E+18 −0.013 plane Reference wavelength: 555 nm.

TABLE 10 Coefficients of the aspheric surfaces Surface 2 3 4 5 6 k −1.714061E−02 −5.000000E+01 1.580243E+00 1.071780E+00 −3.846316E+00 A4 −2.918413E−04 −4.744153E−03 −1.655920E−02 −1.268115E−02 −5.961405E−03 A6 −2.927822E−05 6.285504E−04 1.882994E−03 1.678844E−03 −4.292067E−04 A8 7.690248E−06 −1.122498E−05 7.318081E−05 −1.600065E−05 2.689234E−05 A10 −1.446748E−06 −8.448082E−07 −1.616174E−05 1.729371E−05 1.578497E−05 A12 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 Surface 7 8 9 10 11 k −5.000000E+01 5.000000E+01 6.292860E−01 −4.966765E+00 −4.843918E+01 A4 −5.159772E−03 −2.510810E−03 4.363805E−03 −9.141241E−03 −5.949997E−03 A6 −1.534535E−03 −2.118730E−03 −1.191965E−03 4.233049E−04 −1.174583E−05 A8 1.606261E−04 −4.018172E−05 −1.454504E−04 2.718696E−05 2.181083E−05 A10 −3.513378E−06 −3.352459E−05 1.528132E−05 −4.303379E−06 −1.494390E−06 A12 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00

An equation of the aspheric surfaces of the fifth embodiment is the same as that of the first embodiment, and the definitions are the same as well.

The exact parameters of the fifth embodiment based on Table 9 and Table 10 are listed in the following table:

Fifth embodiment (Reference wavelength: 555 nm) |f/f1| |f/f2| |f/f3| |f/f4| |f/f5| |f1/f2| 1.50613 0.75108 0.15091 0.69917 1.41812 0.49868 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN45/f |f2/f3| 2.8684  1.6570  1.7310  0.0047  0.1127  0.2009  TP3/(IN23 + TP3 + IN34) (TP1 + IN12)/TP2 (TP5 + IN45)/TP4 0.17905 11.61600 2.26371 HOS InTL HOS/HOI InS/HOS ODT % TDT % 10.40000  8.40321 2.08000 0.84551 2.00062 1.56819 HVT11 HVT12 HVT21 HVT22 HVT31 HVT32 0.00000 0     0     0     0     1.3796  HVT41 HVT42 HVT51 HVT52 HVT52/HOI HVT52/HOS 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 TP2/TP3 TP3/TP4 InRS51 InRS52 |InRS51|/TP5 |InRS52|/TP5 0.33691 0.75548 −1.71465  −1.55317  2.89671 2.62390 PSTA PLTA NSTA NLTA SSTA SLTA 0.018 mm 0.020 mm −0.017 mm −0.011 mm 0.008 mm 0.002 mm

The figures related to the profile curve lengths obtained based on Table 9 and Table 10 are listed in the following table:

Fifth embodiment (Reference wavelength: 555 nm) ARE ARE − 2(ARE/HEP) ARE ½(HEP) value ½(HEP) % TP ARE/TP (%) 11 2.924 3.475 0.550 118.82% 2.273 152.86% 12 2.697 2.698 0.001 100.05% 2.273 118.69% 21 2.566 2.599 0.033 101.27% 0.200 1299.31% 22 2.280 2.544 0.264 111.57% 0.200 1272.19% 31 2.548 2.561 0.012 100.47% 0.594 431.33% 32 2.569 2.608 0.039 101.51% 0.594 439.35% 41 2.500 3.032 0.532 121.30% 0.786 385.89% 42 2.924 3.283 0.359 112.27% 0.786 417.83% 51 2.924 3.281 0.356 112.18% 0.592 554.24% 52 2.924 3.021 0.097 103.30% 0.592 510.37% ARS ARS EHD value ARS − EHD (ARS/EHD) % TP ARS/TP (%) 11 2.925 3.475 0.550 118.82% 2.273 152.86% 12 2.697 2.698 0.001 100.05% 2.273 118.69% 21 2.566 2.599 0.033 101.27% 0.200 1299.31% 22 2.280 2.544 0.264 111.57% 0.200 1272.19% 31 2.548 2.561 0.012 100.47% 0.594 431.33% 32 2.569 2.608 0.039 101.51% 0.594 439.35% 41 2.500 3.032 0.532 121.30% 0.786 385.89% 42 2.997 3.401 0.404 113.47% 0.786 432.76% 51 3.275 3.874 0.599 118.30% 0.592 654.52% 52 3.846 4.446 0.601 115.62% 0.592 751.18%

The results of the equations of the fifth embodiment based on Table 9 and Table 10 are listed in the following table:

Values related to the inflection points of the fifth embodiment (Reference wavelength: 555 nm) HIF121 1.0406 HIF121/HOI 0.2081 SGI121 0.0205 |SGI121|/(|SGI121| + TP1) 0.0089 HIF122 1.6494 HIF122/HOI 0.3299 SGI122 0.0379 |SGI122|/(|SGI122| + TP1) 0.0164 HIF211 2.5437 HIF211/HOI 0.5087 SGI211 0.3451 |SGI211|/(|SGI211| + TP2) 0.6331 HIF311 1.0958 HIF311/HOI 0.2192 SGI311 0.0529 |SGI311|/(|SGI311| + TP3) 0.0818 HIF312 1.9370 HIF312/HOI 0.3874 SGI312 0.1011 |SGI312|/(|SGI312| + TP3) 0.1455 HIF321 0.8242 HIF321/HOI 0.1648 SGI321 0.0236 |SGI321|/(|SGI321| + TP3) 0.0382 HIF421 2.9418 HIF421/HOI 0.5884 SGI421 −1.1471 |SGI421|/(|SGI421| + TP4) 0.5935

[Sixth Embodiment]

As shown in FIG. 6A and FIG. 6B, an optical image capturing system of the sixth embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 600, a first lens 610, a second lens 620, a third lens 630, a fourth lens 640, a fifth lens 650, an infrared rays filter 670, an image plane 680, and an image sensor 690. FIG. 6C is a transverse aberration diagram at 0.7 field of view of the sixth embodiment of the present application.

The first lens 610 has positive refractive power and is made of plastic. An object-side surface 612, which faces the object side, is a convex aspheric surface, and an image-side surface 614, which faces the image side, is a convex aspheric surface. The image-side surface 614 has an inflection point.

The second lens 620 has negative refractive power and is made of plastic. An object-side surface 622 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 624 thereof, which faces the image side, is a concave aspheric surface.

The third lens 630 has negative refractive power and is made of plastic. An object-side surface 632, which faces the object side, is a convex aspheric surface, and an image-side surface 634, which faces the image side, is a concave aspheric surface. The image-side surface 634 has two inflection points.

The fourth lens 640 has positive refractive power and is made of plastic. An object-side surface 642, which faces the object side, is a concave aspheric surface, and an image-side surface 644, which faces the image side, is a convex aspheric surface.

The fifth lens 650 has negative refractive power and is made of plastic. An object-side surface 652, which faces the object side, is a concave aspheric surface, and an image-side surface 654, which faces the image side, is a concave aspheric surface. The object-side surface 652 has two inflection points, and the image-side surface 654 has an inflection point. It may help to shorten the back focal length to keep small in size. In addition, it may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view.

The infrared rays filter 670 is made of glass and between the fifth lens 650 and the image plane 680. The infrared rays filter 670 gives no contribution to the focal length of the system.

The parameters of the lenses of the sixth embodiment are listed in Table 11 and Table 12.

TABLE 11 f = 13.4695 mm; f/HEP = 1.6; HAF = 19.9999 deg Focal Radius of curvature Thickness Refractive Abbe length Surface (mm) (mm) Material index number (mm) 0 Object 1E+18 1E+13 1 Aperture 1E+18 −2.113 2 1^(st) lens 4.922290279 3.339 plastic 1.565 58.00 8.123 3 −53.74224765 0.084 4 2^(nd) lens 9.092012059 0.544 plastic 1.661 20.40 −12.309 5 4.21042992 0.966 6 3^(rd) lens 3.683586509 0.451 plastic 1.514 56.80 −879.950 7 3.501874076 3.337 8 4^(th) lens −45.38228587 1.548 plastic 1.661 20.40 13.041 9 −7.397222308 1.008 10 5^(th) lens −12.11698556 0.653 plastic 1.607 26.60 −9.724 11 11.89928321 0.100 12 Infrared 1E+18 0.200 BK_7 1.517 64.13 rays filter 13 1E+18 1.772 14 Image 1E+18 −0.002 plane Reference wavelength: 555 nm.

TABLE 12 Coefficients of the aspheric surfaces Surface 2 3 4 5 6 k −2.667223E−01 −4.919163E+01 9.119808E−01 2.759591E−01 −5.453671E−01 A4 5.501814E−05 1.597687E−04 −2.542099E−03 −3.169664E−03 −7.332879E−03 A6 6.020574E−07 1.306779E−05 6.291991E−05 9.450519E−05 5.376450E−05 A8 5.261289E−07 −1.030069E−06 5.358407E−06 −4.647883E−06 −7.735317E−06 A10 −3.124943E−08 2.978434E−08 −1.904403E−07 1.499067E−06 2.630914E−06 A12 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 Surface 7 8 9 10 11 k 1.856485E−02 −3.072781E+01 −1.797360E−02 1.209620E+00 −5.000000E+01 A4 −1.014661E−02 −2.853164E−03 4.983882E−04 −3.818120E−03 −4.368756E−03 A6 −9.620627E−05 −3.514561E−04 −3.504405E−04 2.374534E−04 1.661320E−04 A8 2.261729E−06 −4.103660E−07 8.191190E−06 3.655519E−06 −1.267749E−06 A10 4.760222E−07 −2.223779E−06 −1.911541E−07 −3.916300E−07 −9.890951E−08 A12 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00

An equation of the aspheric surfaces of the sixth embodiment is the same as that of the first embodiment, and the definitions are the same as well.

The exact parameters of the sixth embodiment based on Table 11 and Table 12 are listed in the following table:

Sixth embodiment (Reference wavelength: 555 nm) |f/f1| |f/f2| |f/f3| |f/f4| |f/f5| |f1/f2| 1.65815 1.09429 0.01531 1.03283 1.38521 0.65995 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN45/f |f2/f3| 2.4948  2.6910  0.9271  0.0062  0.0748  0.0140  TP3/(IN23 + TP3 + IN34) (TP1 + IN12)/TP2 (TP5 + IN45)/TP4 0.09478 6.29769 1.07299 HOS InTL HOS/HOI InS/HOS ODT % TDT % 14.00000  11.92930  2.80000 0.84909 2.00063 1.04779 HVT11 HVT12 HVT21 HVT22 HVT31 HVT32 0.00000 0     0     0     0     0     HVT41 HVT42 HVT51 HVT52 HVT52/HOI HVT52/HOS 0.00000 0.00000 0.00000 1.99254 0.00000 0.00000 TP2/TP3 TP3/TP4 InRS51 InRS52 |InRS51|/TP5 |InRS52|/TP5 1.20643 0.29106 −1.08008  −0.75464  1.65432 1.15585 PLTA PSTA NLTA NSTA SLTA SSTA 0.010 mm 0.014 mm −0.003 mm −0.011 mm 0.008 mm 0.004 mm

The figures related to the profile curve lengths obtained based on Table 11 and Table 12 are listed in the following table:

Sixth embodiment (Reference wavelength: 555 nm) ARE ARE − 2(ARE/HEP) ARE ½(HEP) value ½(HEP) % TP ARE/TP (%) 11 4.209 4.897 0.688 116.35% 3.339 146.66% 12 3.974 3.974 0.000 100.01% 3.339 119.01% 21 3.657 3.718 0.061 101.67% 0.544 683.93% 22 3.119 3.522 0.403 112.91% 0.544 647.89% 31 3.247 3.471 0.224 106.90% 0.451 770.47% 32 3.169 3.353 0.185 105.82% 0.451 744.22% 41 3.319 3.868 0.549 116.54% 1.548 249.90% 42 3.937 4.701 0.764 119.40% 1.548 303.67% 51 4.209 4.362 0.152 103.62% 0.653 668.03% 52 4.209 4.266 0.057 101.36% 0.653 653.46% ARS ARS EHD value ARS − EHD (ARS/EHD) % TP ARS/TP (%) 11 4.242 4.949 0.707 116.66% 3.339 148.19% 12 3.974 3.974 0.000 100.01% 3.339 119.01% 21 3.657 3.718 0.061 101.67% 0.544 683.93% 22 3.119 3.522 0.403 112.91% 0.544 647.89% 31 3.247 3.471 0.224 106.90% 0.451 770.47% 32 3.169 3.353 0.185 105.82% 0.451 744.22% 41 3.319 3.868 0.549 116.54% 1.548 249.90% 42 3.937 4.701 0.764 119.40% 1.548 303.67% 51 4.437 4.647 0.210 104.74% 0.653 711.83% 52 4.883 5.155 0.273 105.59% 0.653 789.62%

The results of the equations of the sixth embodiment based on Table 11 and Table 12 are listed in the following table:

Values related to the inflection points of the sixth embodiment (Reference wavelength: 555 nm) HIF121 2.4160 HIF121/HOI 0.4832 SGI121 −0.0460 |SGI121|/(|SGI121| + TP1) 0.0136 HIF321 2.1006 HIF321/HOI 0.4201 SGI321 0.4975 |SGI321|/(|SGI321| + TP3) 0.5247 HIF322 2.2310 HIF322/HOI 0.4462 SGI322 0.5445 |SGI322|/(|SGI322| + TP3) 0.5472 HIF511 3.1513 HIF511/HOI 0.6303 SGI511 −0.5726 |SGI511|/(|SGI511| + TP5) 0.4673 HIF512 3.3937 HIF512/HOI 0.6787 SGI512 −0.6566 |SGI512|/(|SGI512| + TP5) 0.5014 HIF521 1.0494 HIF521/HOI 0.2099 SGI521 0.0375 |SGI521|/(|SGI521| + TP5) 0.0543

It must be pointed out that the embodiments described above are only some embodiments of the present invention. All equivalent structures which employ the concepts disclosed in this specification and the appended claims should fall within the scope of the present invention. 

What is claimed is:
 1. An optical image capturing system, in order along an optical axis from an object side to an image side, comprising: a first lens having positive refractive power; a second lens having positive refractive power; a third lens having negative refractive power; a fourth lens having positive refractive power; a fifth lens having negative refractive power; and an image plane; wherein each lens among the first lens to the fifth lens has an object-side surface, which faces the object side, and an image-side surface, which faces the image side; wherein the optical image capturing system satisfies: 1≤f/HEP≤10; 0deg<HAF≤50 deg; and 0.9≤2(ARE/HEP)≤2.0; where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance between an object-side surface of the first lens and the image plane on the optical axis; InTL is a distance from the object-side surface of the first lens to the image-side surface of the fifth lens on the optical axis; HAF is a half of a maximum view angle of the optical image capturing system; for any surface of any lens, ARE is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.
 2. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies: PLTA≤100 μm; PSTA≤100 μm; NLTA≤100 μm; NSTA≤100 μm; SLTA≤100 μm; SSTA≤100 μm; and |TDT|≤100%; where TDT is a TV distortion; HOI is a maximum height for image formation perpendicular to the optical axis on the image plane; PLTA is a transverse aberration at 0.7 HOI on the image plane in the positive direction of a tangential fan of the optical image capturing system after a longest operation wavelength passing through an edge of the aperture; PSTA is a transverse aberration at 0.7 HOI on the image plane in the positive direction of the tangential fan after a shortest operation wavelength passing through the edge of the aperture; NLTA is a transverse aberration at 0.7 HOI on the image plane in the negative direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture; NSTA is a transverse aberration at 0.7 HOI on the image plane in the negative direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture; SLTA is a transverse aberration at 0.7 HOI on the image plane of a sagittal fan of the optical image capturing system after the longest operation wavelength passing through the edge of the aperture; SSTA is a transverse aberration at 0.7 HOI on the image plane of a sagittal fan after the shortest operation wavelength passing through the edge of the aperture.
 3. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies: 0.9≤ARS/EHD≤2.0; where, for any surface of any lens, EHD is a maximum effective half diameter thereof, ARS is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to an end point of the maximum effective half diameter thereof.
 4. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies: 0 mm<HOS≤50 mm.
 5. The optical image capturing system of claim 1, wherein the image plane is either flat or curved.
 6. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies: 0.05≤ARE51/TP5≤25; and 0.05≤ARE52/TP5≤25; where ARE51 is a profile curve length measured from a start point where the optical axis passes the object-side surface of the fifth lens, along a surface profile of the object-side surface of the fifth lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; ARE52 is a profile curve length measured from a start point where the optical axis passes the image-side surface of the fifth lens, along a surface profile of the image-side surface of the fifth lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; TP5 is a thickness of the fifth lens on the optical axis.
 7. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies: 0.05≤ARE41/TP4≤25; and 0.05≤ARE42/TP4≤25; where ARE41 is a profile curve length measured from a start point where the optical axis passes the object-side surface of the fourth lens, along a surface profile of the object-side surface of the fourth lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; ARE42 is a profile curve length measured from a start point where the optical axis passes the image-side surface of the fourth lens, along a surface profile of the image-side surface of the fourth lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; TP4 is a thickness of the fourth lens on the optical axis.
 8. The optical image capturing system of claim 1, wherein the image-side surface of the fourth lens is convex on the optical axis.
 9. The optical image capturing system of claim 1, further comprising an aperture, wherein the optical image capturing system further satisfies: 0.2≤InS/HOS≤1.1; where InS is a distance between the aperture and the image plane on the optical axis.
 10. An optical image capturing system, in order along an optical axis from an object side to an image side, comprising: a first lens having positive refractive power; a second lens having negative refractive power; a third lens having negative refractive power; a fourth lens having positive refractive power; a fifth lens having negative refractive power; and an image plane; wherein at least a surface of at least one lens among the first lens to the fifth lens has at least an inflection point thereon; each lens among the first lens to the fifth lens has an object-side surface, which faces the object side, and an image-side surface, which faces the image side; wherein the optical image capturing system satisfies: 1≤f/HEP≤10; 0 deg<HAF≤50 deg; and 0.9≤2(ARE/HEP)≤2.0; where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance between the object-side surface of the first lens and the image plane on the optical axis; InTL is a distance from the object-side surface of the first lens to the image-side surface of the fifth lens on the optical axis; HAF is a half of a maximum view angle of the optical image capturing system; for any surface of any lens, ARE is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.
 11. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies: 0.9≤ARS/EHD≤2.0; where, for any surface of any lens, EHD is a maximum effective half diameter thereof, ARS is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to an end point of the maximum effective half diameter thereof.
 12. The optical image capturing system of claim 10, wherein at least a surface of each of at least two lenses among the first lens to the fifth lens has at least an inflection point.
 13. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies: PLTA≤50 μm; PSTA≤50 μm; NLTA≤50 μm; NSTA≤50 μm; SLTA≤50 μm; and SSTA≤50 μm; where TDT is a TV distortion; HOI is a maximum height for image formation perpendicular to the optical axis on the image plane; PLTA is a transverse aberration at 0.7 HOI on the image plane in the positive direction of a tangential fan of the optical image capturing system after a longest operation wavelength passing through an edge of the aperture; PSTA is a transverse aberration at 0.7 HOI on the image plane in the positive direction of the tangential fan after a shortest operation wavelength passing through the edge of the aperture; NLTA is a transverse aberration at 0.7 HOI on the image plane in the negative direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture; NSTA is a transverse aberration at 0.7 HOI on the image plane in the negative direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture; SLTA is a transverse aberration at 0.7 HOI on the image plane of a sagittal fan of the optical image capturing system after the longest operation wavelength passing through the edge of the aperture; SSTA is a transverse aberration at 0.7 HOT on the image plane of a sagittal fan after the shortest operation wavelength passing through the edge of the aperture.
 14. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies: 0.5≤HOS/HOI≤5; where HOT is a maximum height for image formation perpendicular to the optical axis on the image plane.
 15. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies: 0≤IN12/f≤60; where IN12 is a distance on the optical axis between the first lens and the second lens.
 16. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies: 0<IN45/f≤5.0; where IN45 is a distance on the optical axis between the fourth lens and the fifth lens.
 17. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies: 0.1≤(TP5+IN45)/TP4<50; where IN45 is a distance on the optical axis between the fourth lens and the fifth lens; TP5 is a thickness of the fifth lens on the optical axis.
 18. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies: 0.1≤(TP1+IN12)/TP2<50; where IN12 is a distance on the optical axis between the first lens and the second lens; TP1 is a thickness of the first lens on the optical axis; TP2 is a thickness of the second lens on the optical axis.
 19. The optical image capturing system of claim 10, wherein at least one lens among the first lens to the fifth lens is a light filter, which is capable of filtering out light of wavelengths shorter than 500 nm.
 20. An optical image capturing system, in order along an optical axis from an object side to an image side, comprising: a first lens having positive refractive power; a second lens having negative refractive power; a third lens having positive refractive power; a fourth lens having positive refractive power; a fifth lens having negative refractive power; and an image plane; wherein at least one surface of each of at least two lenses among the first lens to the fifth lens has at least an inflection point thereon; each lens among the first lens to the fifth lens has an object-side surface, which faces the object side, and an image-side surface, which faces the image side; wherein the optical image capturing system satisfies: 1≤f/HEP≤10; 10 deg≤HAF≤50 deg; 0.9≤2(ARE/HEP)≤2.0; and 0.5≤HOS/HOI≤5; where f is the focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance between an object-side surface of the first lens and the image plane on the optical axis; InTL is a distance from the object-side surface of the first lens to the image-side surface of the fifth lens on the optical axis; HAF is a half of a maximum view angle of the optical image capturing system; for any surface of any lens, HOI is a maximum height for image formation perpendicular to the optical axis on the image plane, ARE is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.
 21. The optical image capturing system of claim 20, wherein the optical image capturing system further satisfies: 0.9≤ARS/EHD≤2.0; where, for any surface of any lens, EHD is a maximum effective half diameter thereof, ARS is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to an end point of the maximum effective half diameter thereof.
 22. The optical image capturing system of claim 20, wherein the optical image capturing system further satisfies: 0 mm<HOS≤50 mm.
 23. The optical image capturing system of claim 20, wherein the optical image capturing system further satisfies: 0.05≤ARE51/TP5≤25; and 0.05≤ARE526/TP5≤25; where ARE51 is a profile curve length measured from a start point where the optical axis passes the object-side surface of the fifth lens, along a surface profile of the object-side surface of the fifth lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; ARE52 is a profile curve length measured from a start point where the optical axis passes the image-side surface of the fifth lens, along a surface profile of the image-side surface of the fifth lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; TP5 is a thickness of the fifth lens on the optical axis.
 24. The optical image capturing system of claim 20, wherein the optical image capturing system further satisfies: 0.05≤ARE41/TP4≤25; and 0.05≤ARE42/TP4≤25; where ARE41 is a profile curve length measured from a start point where the optical axis passes the object-side surface of the fourth lens, along a surface profile of the object-side surface of the fourth lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; ARE42 is a profile curve length measured from a start point where the optical axis passes the image-side surface of the fourth lens, along a surface profile of the image-side surface of the fourth lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; TP4 is a thickness of the fourth lens on the optical axis.
 25. The optical image capturing system of claim 20, further comprising an aperture an image sensor, and a driving module, wherein the image sensor is disposed on the image plane; the driving module is coupled with the lenses to move the lenses; the optical image capturing system further satisfies: 0.2≤InS/HOS≤1.1; where InS is a distance between the aperture and the image plane on the optical axis. 